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If \(T = 2\pi \sqrt{\frac{l}{g}}\), make g the subject of the formula

If \(T = 2\pi \sqrt{\frac{l}{g}}\), make g the subject of the formula
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  • A (4π l2) / T
  • B (4π2l) / T2
  • C (4π2l2) / T2
  • D (2π√l) / T
Correct Answer: Option B
Explanation:
\(T = 2\pi \sqrt{\frac{l}{g}}\)
\(\frac{T}{2\pi} = \sqrt{\frac{l}{g}}\)
\((\frac{T}{2\pi})^{2} = \frac{l}{g}\)
\(\therefore g = \frac{4 \pi^{2} l}{T^{2}}\)

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